11114253766800 has 480 divisors, whose sum is σ = 40953744744960. Its totient is φ = 2860995686400.

The previous prime is 11114253766757. The next prime is 11114253766921. The reversal of 11114253766800 is 866735241111.

11114253766800 is a `hidden beast` number, since 1 + 1 + 11 + 42 + 537 + 6 + 68 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36904830 + ... + 37204770.

It is an arithmetic number, because the mean of its divisors is an integer number (85320301552).

Almost surely, 2^{11114253766800} is an apocalyptic number.

11114253766800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11114253766800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20476872372480).

11114253766800 is an abundant number, since it is smaller than the sum of its proper divisors (29839490978160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11114253766800 is a wasteful number, since it uses less digits than its factorization.

11114253766800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300088 (or 300071 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11114253766800 in words is "eleven trillion, one hundred fourteen billion, two hundred fifty-three million, seven hundred sixty-six thousand, eight hundred".